Question

Mr. Mehata purchased a video for Rs.20000 and a television for Rs.30000. On the video be lost 5% and on the television he gained 8%. Find his total gain or loss per cent.

Answer 1

Cost price of video $=Rs20000$

Cost price of television $=Rs30000$

Lost $\%$ on video $=5\%$

Gain $\%$ on television $=8\%$

Lost $\%=\frac{CP-SP}{CP}\times 100$

$5=\frac{20000-SP}{20000}\times 100$

$1000=20000-SP$

$SP=19000$

Gain $\%=\frac{SP-CP}{CP}\times 100$

$8=\frac{SP-30000}{30000}\times 100$

$2400=SP-30000$

$SP=32400$

Total cost price $=Rs20000+Rs30000$

$=Rs50000$

Total selling price $=Rs19000+Rs32400$

$=Rs51400$

Total selling price $-$ Total cost price

$=Rs51400-Rs50000=Rs1400$

He had a Gain of $Rs1400$

Gain $\%=\frac{Gain}{CP}\times 100$

$=\frac{1400\times 100}{50000}$

$Gain\%=2.8\%$